25268493018000 has 320 divisors, whose sum is σ = 85158069534720. Its totient is φ = 6438354624000.

The previous prime is 25268493017953. The next prime is 25268493018023. The reversal of 25268493018000 is 81039486252.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13834177 + ... + 15553823.

It is an arithmetic number, because the mean of its divisors is an integer number (266118967296).

Almost surely, 2^{25268493018000} is an apocalyptic number.

25268493018000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25268493018000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42579034767360).

25268493018000 is an abundant number, since it is smaller than the sum of its proper divisors (59889576516720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25268493018000 is a wasteful number, since it uses less digits than its factorization.

25268493018000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1719783 (or 1719767 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 25268493018000 in words is "twenty-five trillion, two hundred sixty-eight billion, four hundred ninety-three million, eighteen thousand".